107139369617280 has 7680 divisors, whose sum is σ = 560121247445760. Its totient is φ = 18919194624000.

The previous prime is 107139369617257. The next prime is 107139369617299. The reversal of 107139369617280 is 82716963931701.

107139369617280 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 3 + 9 + 3 + 6 + 9 + 617 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×107139369617280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 591930218790 + ... + 591930218970.

Almost surely, 2^{107139369617280} is an apocalyptic number.

107139369617280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107139369617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280060623722880).

107139369617280 is an abundant number, since it is smaller than the sum of its proper divisors (452981877828480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107139369617280 is a wasteful number, since it uses less digits than its factorization.

107139369617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 107139369617280 in words is "one hundred seven trillion, one hundred thirty-nine billion, three hundred sixty-nine million, six hundred seventeen thousand, two hundred eighty".